should get a key pin while you are doing it, just to avoid misaligning the plug in the future
Product ID: 15-04-0297
Keying Plug, 0.156" Small
12 cents from GPE
Ever done this before? Replacing the connector itself isn't too difficult. Snip one wire at a time, crimp a new pin on, and insert it into your new connector. Crimping takes a little practice, but the good thing is you can't screw anything up. If you make a bad crimp, just rip it off and start over with another one. (buy extra pins - seriously, you will need them)
Replacing the header pins on the pcb is a little more complicated, as it involves de-soldering the pins from the board. Research this if you aren't experienced doing it.
You may find that replacing the plug will solve your immediate problem. However - if this is the case - just know that if you don't also replace the header pins on the PCB, you'll likely find yourself in this same situation a few years down the road when the connector burns up again. The heat from the resistance on the header pins is what is causing this problem, and until you fix that you are just applying a band aid.